I love tan!

Geometry Level 4

Find the sum of all θ\theta between 00^{\circ} and 360360^{\circ} inclusive for which

tan2θ=3tanθ.\tan 2\theta = 3\tan\theta.

Details and Assumptions

It is given that 0θ3600^{\circ} \leq \theta \leq 360^{\circ}.

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